Parallel, Perpendicular, and Intersecting Lines

Kinds of Lines

• Horizontal Lines – Lines mapped from left-to-right or right-to-left and which are parallel to the \(x\)-axis in a plane are known as horizontal lines.
• Vertical Lines – Lines mapped from up to down or down to up and are parallel to the \(y\)-axis in a plane are known as vertical lines.
• Intersecting Lines – Whenever \(2\) lines cross one another and meet up at a point, they’re called intersecting lines. The point where they meet up is called the point of intersection.

 Intersecting Lines Properties

• Intersecting lines link at a single point, and they can’t meet up at more than a single point.
• Intersecting lines meet up with one another at any angle that’s bigger than \(0°\) and lower than \(180°\).

• Perpendicular Lines– Whenever \(2\) lines intersect precisely at \(90°\), they’re called perpendicular lines.
• Parallel Lines –\(2\) lines are understood to be parallel if they don’t intersect at any point as well and they are equidistant.

Non-intersecting Lines Properties

• Non-intersecting lines don’t ever meet up, and they don’t share any kind of common point. They’re additionally called parallel lines.
• The gap in-between non-intersecting lines is constantly equal.
• The size of any common perpendicular drawn between the \(2\) non-intersecting lines is constantly equal.

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Hints on Points and Lines

• Whenever \(2\) distinct points are linked, they create a line.
• A line goes in two directions forever.
• Parallel lines don’t intersect one another.
• The line that intersects at \(90°\) are called perpendicular lines.
• \(2\) or more points that lie on one straight line are called collinear points.

Parallel, Perpendicular, and Intersecting Lines – Example 1:

These two lines cross each other and intersect at \(90°\), so they are both intersecting and perpendicular to each other.

Parallel, Perpendicular, and Intersecting Lines – Example 2:

State whether the given pair of lines is parallel, perpendicular, or intersecting.

Solution:

These two lines do not intersect at any point so they are parallel.

Exercises for Parallel, Perpendicular, and Intersecting Lines

1)

2)

Answers

1. \(\color{blue}{Intersecting}\)
2. \(\color{blue}{Parallel}\)

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